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Rough homogenisation with fractional dynamics (Q2107412)

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Language	Label	Description	Also known as
English	Rough homogenisation with fractional dynamics	scientific article

Statements

scholarly article

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Rough homogenisation with fractional dynamics (English)

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publication date

1 December 2022

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full work available at URL

https://arxiv.org/abs/2011.00075

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zbMATH Keywords

homogenisation

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stochastic averaging

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fractional Brownian motion

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multi-scale

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rough paths

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MaRDI profile type

MaRDI publication profile

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Kinetic Brownian motion on Riemannian manifolds

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Reduction of deterministic coupled atmosphere–ocean models to stochastic ocean models: a numerical case study of the Lorenz–Maas system

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On fractional Brownian motion and wavelets

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Weak symmetries of stochastic differential equations driven by semimartingales with jumps

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Rough flows and homogenization in stochastic turbulence

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Noise-Induced Phenomena in Slow-Fast Dynamical Systems

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Discrete-Time Inference for Slow-Fast Systems Driven by Fractional Brownian Motion

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Small mass limit of a Langevin equation on a manifold

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Diffusion approximation for slow motion in fully coupled averaging

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A Limit Theorem for Solutions of Differential Equations with Random Right-Hand Side

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MULTIVARIATE LIMIT THEOREMS IN THE CONTEXT OF LONG‐RANGE DEPENDENCE

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Stochastic evolution equations driven by Liouville fractional Brownian motion

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Averaging principle for diffusion processes via Dirichlet forms

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DECOMPOSITION OF STOCHASTIC FLOWS IN MANIFOLDS WITH COMPLEMENTARY DISTRIBUTIONS

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Multiscale systems, homogenization, and rough paths

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Averaging along irregular curves and regularisation of ODEs

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Smoothness of the density for solutions to Gaussian rough differential equations

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Projection of diffusions on submanifolds: Application to mean force computation

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Stochastic analysis, rough path analysis and fractional Brownian motions.

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Sample path properties of the stochastic flows.

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Non-central limit theorems for non-linear functional of Gaussian fields

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Gaussian and their subordinates self-similar random generalized fields

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Stochastic analysis of the fractional Brownian motion

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Symmetries of stochastic differential equations: A geometric approach

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Central limit theorem for the geodesic flow associated with a Kleinian group, case \(\delta>d/2\)

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Sample paths estimates for stochastic fast-slow systems driven by fractional Brownian motion

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Intertwining and the Markov uniqueness problem on path spaces

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Equivariant diffusions on Principal bundles

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The Geometry of Filtering

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Curvilinear integrals along enriched paths

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Physical Brownian motion in a magnetic field as a rough path

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On the regularity of stochastic currents, fractional Brownian motion and applications to a turbulence model

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A course on rough paths. With an introduction to regularity structures

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Fractional Brownian motions in a limit of turbulent transport.

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Averaging Principle for Stochastic Perturbations of Multifrequency Systems

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Local Stability of Differential Equations Driven by Hölder-Continuous Paths with Hölder Index in (1/3,1/2)

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Limit theorems for multidimensional Markov processes

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Limit theorems, scaling of moments and intermittency for integrated finite variance supOU processes

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Stochastic Differential Equations Driven by Fractional Brownian Motion and Standard Brownian Motion

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\(m\)-order integrals and generalized Itô's formula; the case of a fractional Brownian motion with any Hurst index

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Controlling rough paths

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Ergodicity of stochastic differential equations driven by fractional Brownian motion

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Averaging dynamics driven by fractional Brownian motion

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Periodic homogenization for hypoelliptic diffusions

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Homogenization of periodic linear degenerate PDEs

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Averaging in dynamical systems and large deviations

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Fluctuations in Markov Processes

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Smooth approximation of stochastic differential equations

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Deterministic homogenization for fast-slow systems with chaotic noise

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Homogenization Driven by a Fractional Brownian Motion: The Shear Layer Case

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Weak limit theorems for stochastic integrals and stochastic differential equations

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A General Theorem on the Convergence of Operator Semigroups

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Central limit theorem for additive functionals of reversible Markov processes and applications to simple exclusions

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Ordinary differential equations with fractal noise

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A stochastic sewing lemma and applications

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Central limit theorem in negative curvature

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An averaging principle for a completely integrable stochastic Hamiltonian system

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Random perturbation to the geodesic equation

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Limits of random differential equations on manifolds

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Homogenisation on homogeneous spaces

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Perturbation of conservation laws and averaging on manifolds

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Toward the Fourier law for a weakly interacting anharmonic crystal

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Differential equations driven by rough signals. I: An extension of an inequality of L. C. Young

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Stochastic calculus for fractional Brownian motion and related processes.

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Steady states, fluctuation-dissipation theorems and homogenization for reversible diffusions in a random environment

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Fractional Brownian Motions, Fractional Noises and Applications

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Strong asymptotic independence on Wiener chaos

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Multivariate central limit theorems for averages of fractional Volterra processes and applications to parameter estimation

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Central limit theorems for sequences of multiple stochastic integrals

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Normal Approximations with Malliavin Calculus

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Fractional Brownian motion with zero Hurst parameter: a rough volatility viewpoint

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The Malliavin Calculus and Related Topics

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Asymptotic theory of mixing stochastic ordinary differential equations

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Homogenization for inertial particles in a random flow

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Integration questions related to fractional Brownian motion

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Application of an averaging principle on foliated diffusions: topology of the leaves

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Averaging principle and normal deviations for multiscale stochastic systems

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Random perturbation methods with applications in science and engineering

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Self-Similar Probability Distributions

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Weak convergence to fractional brownian motion and to the rosenblatt process

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Law of the iterated logarithm for sums of non-linear functions of Gaussian variables that exhibit a long range dependence

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Convergence of integrated processes of arbitrary Hermite rank

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On independence and conditioning on Wiener space

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Identifiers

zbMATH Open document ID

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10.1007/978-3-030-87432-2_8

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2107412

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